Zentralblatt MATH

Publications of (and about) Paul Erdös
Zbl.No:  129.02803
Autor:  Erdös, Pál
Title:  On a problem of Sierpinski. (Extract from a letter to W. Sierpinski) (In English)
Source:  Acta Arith. 11, 189-192 (1965).
Review:  Answering a question of W.Sierpinski (Zbl 122.04602), the author proves that for a certain absolute constant C, every integer > C+sumi = 2s+1 pi is the sum of s integers > 1, pairwise relatively prime (pi is the ith prime). This is best possible up to the value of C since sumi = 2s+1 pi-2 is not the sum in question. The integers pairwise relatively prime are taken in the proof to be primes or squares of primes. In Lemma 1, in place of C1 read c1.
Reviewer:  A.Schinzel
Classif.:  * 11A41 Elemementary prime number theory
Index Words:  number theory

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